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Finding the Third Proportional to 194,145 and 397,698

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Solution

The third proportional to 194,145 and 397,698 is: 814,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,145 : 397,698 = 397,698 : x
  2. Step 2: Convert to fraction form
    194,145/397,698 = 397,698/x
  3. Step 3: Cross multiply
    194,145x = 397,698 × 397,698
  4. Step 4: Simplify right side
    194,145x = 158,163,699,204
  5. Step 5: Solve for x
    x = 158,163,699,204/194,145
  6. Step 6: Final answer
    x = 814,667.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.